Question

resolva os produtos notaveis
a) (x+y)²-2xy=

b)(5-2 z)² -(25+10z)=

c) (3x+1)²+(3x-1)²-2=

d) (2-2x)²+(3-2x)²-2(x-3)

e) (x-3)(x+3)-x(x-3y)=

Answer 1

a)
(x+y)²-2xy=
x²+2xy+y²-2xy=
x²+y²

b)
(5-2z)²-(25+10z)=
25-20z+4z²-25-10z=
4z²-30z

c)
(3x+1)²+(3x-1)²-2=
9x²+6x+1+9x²-6x+1-2=
18x²

d)
(2-2x)²+(3-2x)²-2(x-3)=
4-8x+4x²+9-12x+4x²-2x+6=
8x²-22x+19

e)
(x-3)(x+3)-x(x-3y)=
x²-9-x²+3xy=
3xy-9